Matlab code for 2nd order differential equations

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KARUNA BOPPENA 2023-8-31

评论： KARUNA BOPPENA 2023-8-31

(d^2 u(x))/〖dx〗^2 =(γu(x))/(1+αu(x))

(d^2 v(x))/〖dx〗^2 =y〖∆v〗^* (dv(x))/dx-2/ε (γu(x))/((1+αu(x)))

at x=0,u=1,v=0

at x=1,du/dx=0,dv/dx=0

ε=1,α=0.001,y=20,〖∆v〗^*=0.1,γ=1,2.5,5,10,100

How to write matlab code for 2nd order differentials and plots between u vs x, v vs x

Walter Roberson 2023-8-31

Do you have access to the Symbolic Toolbox? If you do then I suggest that you read the documentation for odeFunction

KARUNA BOPPENA 2023-8-31

Yes, Thank you for your response

Sam Chak 2023-8-31

Which textbook are you referring to for this problem? This appears to be a boundary value problem.

The solution of interest is to be determined by both the boundary conditions

and the gamma parameter γ.

You can find some examples in this bvp4c() documentation:

KARUNA BOPPENA 2023-8-31

Thank you so much for your suggestions

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